Greatest Common Factor of 3088/285, 7669/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3088/285, 7669/421

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3088/285,7669/421

Given fractions are 3088/285,7669/421

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3088,7669

Greatest Common Factor of Numerators i.e. GCF of 3088,7669 is 1 .

LCM of Denominators means LCM of 285,421 as per the given fractions.

LCM of 285,421 is 119985 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3088,7669

GCF of Fractions 3088/285,7669/421 is 1/119985

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3088,7669 By Matching Biggest Common Factor Method

Greatest Common Factor of 3088,7669 By Matching Biggest Common Factor Method

Factors of 3088

List of positive integer factors of 3088 that divides 3088 without a remainder.

1,2,4,8,16,193,386,772,1544,3088

Factors of 7669

List of positive integer factors of 7669 that divides 7669 without a remainder.

1,7669

Greatest Common Factor

We found the factors 3088,7669 . The biggest common factor number is the GCF number.
So the greatest common factor 3088,7669 is 1.

Lets's calculate LCM of 285,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 119985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119985

Therefore, the GCF of Fractions 3088/285,7669/421 is 1/119985

Least Common Multiple of 285,421 with GCF Formula

Least Common Multiple of 285,421 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 285,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,421) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(285,421) x common factors =1 x 1 = 1

LCM(285,421) = ( 285 × 421 ) / 1

LCM(285,421) = 119985 / 1

LCM(285,421) = 119985


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3088/285, 7669/421

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3088/285, 7669/421?

Answer: GCF of Numerators as per given numbers 3088/285, 7669/421 is

GCF of Numerators i.e. for 3088,7669 is 1

LCM of denominators i.e. for 285,421 is 119985.

Thus, GCF of Fractions is 1/119985.Finally, GCF of Fractions for 3088/285, 7669/421 is 1/119985.